13 citations · 79 across the 30 of their papers we have counts for
4 papers · 1 filter
The dihedral group $\Dh_5$ as group of symplectic automorphisms on K3 surfaces
Alice Garbagnati
We prove that if a K3 surface admits as group of symplectic automorphisms, then it actually admits $\Dh_5$ as group of symplectic automorphisms. The orthogonal complem…
A geometrical approach to Gordan--Noether's and Franchetta's contributions to a question posed by Hesse
Alice Garbagnati, Flavia Repetto
Hesse claimed that an irreducible projective hypersurface in $\PP^n$ defined by an equation with vanishing hessian determinant is necessarily a cone. Gordan and Noether proved that…
Symplectic Automorphisms on Kummer Surfaces
Alice Garbagnati
Nikulin proved that the isometries induced on the second cohomology group of a K3 surface by a finite abelian group of symplectic automorphisms are essentially unique. More…
Elliptic fibrations and symplectic automorphisms on K3 surfaces
Alice Garbagnati, Alessandra Sarti
Nikulin has classified all finite abelian groups acting symplectically on a K3 surface and he has shown that the induced action on the K3 lattice depends only…